| Title |
Minimum of heavy-tailed random variables is not heavy tailed |
| Authors |
Leipus, Remigijus ; Šiaulys, Jonas ; Konstantinides, Dimitrios |
| DOI |
10.3934/math.2023658 |
| Full Text |
|
| Is Part of |
AIMS mathematics.. Springfield, MO : AIMS Press. 2023, vol. 8, iss. 6, p. 13066-13072.. eISSN 2473-6988 |
| Keywords [eng] |
heavy-tailed distribution ; closure properties ; minimum of random variables ; closure under minimum ; generalized long-tailed distribution |
| Abstract [eng] |
By constructing an appropriate example, we show that the class of heavy-tailed distributions is not closed under minimum. We provide two independent heavy-tailed random variables, such that their minimum is not heavy tailed. In addition, we establish a few properties of the distributions considered in the example. |
| Published |
Springfield, MO : AIMS Press |
| Type |
Journal article |
| Language |
English |
| Publication date |
2023 |
| CC license |
|
